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Finding the Third Proportional to 13,375.13 and 30,970.69

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Solution

The third proportional to 13,375.13 and 30,970.69 is: 71,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.13 : 30,970.69 = 30,970.69 : x
  2. Step 2: Convert to fraction form
    13,375.13/30,970.69 = 30,970.69/x
  3. Step 3: Cross multiply
    13,375.13x = 30,970.69 × 30,970.69
  4. Step 4: Simplify right side
    13,375.13x = 959,183,484.22
  5. Step 5: Solve for x
    x = 959,183,484.22/13,375.13
  6. Step 6: Final answer
    x = 71,713.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.